FA Math Comp Team Game

Algebra I/II

100

What are the zeros of the function f(x)=(x-6)(x+4)

x=6, x=-4

200

2x²−5x+4=f(x)

Find f(3)

7

300

(x+1)/3=(2x-4)/6

x=6

400

2^x+1=128

x=6

500

2i²+4

2

Geometry

100

Find the perimeter of a rectangle with length 8cm and width 5cm.

26cm

200

Find the area of a triangle with base 10m and height 6m.

30m²

300

A right triangle has legs of lengths 9 and 12.
Find the hypotenuse.

15

400

Find the circumference of a circle with radius r=7 cm.

14pi cm

500

A cylinder has radius r=3 cm and height h=10 cm.
Find its volume. (In terms of pi)

90pi cm³

Trigonometry

100

sin(30deg)

1/2

200

In a right triangle, sin⁡(θ)=3/5

Find cos(θ)

4/5

300

cos(x)=1/2, 0∘≤x<360∘

Solve for x (Could be multiple)

x=60deg, x=300deg

400

sin²θ+cos²θ

1

500

2sin(x)−1=0, 0∘≤x<360∘

Solve for x, (Could be multiple)

x=30deg, x=150deg

Calculus

100

d/dx(4x³−5x+7)

12x²-5

200

d/dx[x²(3x−2)]

9x²-4

300

d/dx[sin(2x²)]

4x(cos(2x²))

400

∫xe^{x^2}dx

1/2e^{x^2}+C

500

A particle’s velocity is v(t)=3t2−4tv(t)=3t2−4t.
If s(0)=2s(0)=2, find the position function s(t)s(t).

t³-2t²+2

Random Math

100

8²−6×5?

34

200

tan(45deg)

1

300

Find the area of a circle with radius r=5cm.

IN TERMS OF METERS 

0.0025pi m²

400

2^x+1=(4x)×2^x-2

2

500

log₂(3x−5)+log₂(x−1)=3

x=3